[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"8":8,"9":9,"10":10,"11":11,"12":12,"14":14,"15":15,"16":16,"17":17,"18":18,"20":21,"21":22,"22":23,"23":24,"24":25,"25":26,"26":27,"27":28,"28":29,"29":31,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":39,"38":40,"39":41,"40":42,"41":43,"42":44,"43":45,"44":47,"45":48,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":62,"58":63,"59":64,"60":65,"61":66,"62":67,"63":68,"64":70,"65":71,"67":73,"68":74,"69":75,"70":76,"71":77,"72":78,"73":79,"75":81,"76":82,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":90,"84":92,"85":93,"86":94,"87":95,"88":96,"89":97,"90":98,"91":99,"92":100,"93":101,"94":102,"95":103,"96":106,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"103":114,"104":115,"105":116,"107":118,"108":119,"109":120,"110":121,"111":122,"112":123,"113":124,"114":125,"115":126,"116":127,"117":128,"118":129,"119":131,"120":132,"121":133,"122":134,"123":135,"124":136,"125":137,"126":138,"127":139,"129":141,"130":142,"131":143,"132":144,"133":145,"134":146,"135":147,"136":149,"137":150,"138":151,"139":153,"140":154,"141":155,"142":156,"143":157,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":168,"153":169,"154":170,"156":172,"157":173,"158":174,"159":175,"160":176,"161":178,"162":179,"163":180,"164":182,"165":183,"166":184,"167":185,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"176":194,"177":195,"178":196,"179":197,"180":198,"181":199,"182":200,"183":201,"184":202,"185":203,"186":204,"187":205,"188":206,"189":207,"190":208,"191":209,"192":210,"193":212,"194":213,"195":214,"196":215,"197":216,"198":217,"199":218,"200":221,"201":222,"202":223,"203":224,"204":225,"205":226,"206":230,"207":232,"208":233,"209":234,"210":235,"211":236,"212":237,"213":238,"214":239,"215":240,"216":241,"217":242,"218":243,"219":244,"220":245,"221":246,"222":247,"223":248,"224":249,"225":250,"226":251,"227":252,"228":253,"229":254,"230":255,"231":256,"233":258,"234":259,"235":260,"236":261,"237":262,"238":263,"239":265,"240":266,"241":268,"242":269,"243":270,"244":271,"245":272,"246":273,"247":274,"248":275,"249":276,"250":277,"251":278,"252":279,"253":280,"254":281,"255":282,"256":283,"257":284,"258":285,"259":286,"260":287,"261":288,"262":289,"263":290,"264":291,"265":294,"266":295,"267":296,"268":297,"269":298,"270":299,"271":300,"272":301,"273":303,"274":304,"275":305,"276":306,"277":307,"278":309,"279":310,"280":311,"281":312,"282":313,"283":314,"284":316,"285":317,"286":318,"287":319,"289":321,"290":322,"291":323,"292":324,"294":326,"295":327,"296":328,"297":329,"298":330,"299":331,"300":332,"301":333,"302":334,"303":335,"304":336,"305":337,"306":338,"307":339,"308":340,"309":341,"310":342,"311":343,"312":345,"313":346,"314":347,"315":348,"316":350,"317":351,"318":352,"319":353,"320":354,"321":355,"322":356,"323":358,"324":359,"325":361,"326":362,"327":363,"328":364,"329":365,"330":366,"331":367,"332":368,"333":369,"334":371,"335":372,"336":373,"337":374,"338":375,"339":376,"340":377,"341":378,"342":379,"343":380,"344":381,"345":382,"346":383,"347":384,"348":385,"349":386,"350":388,"351":389,"352":390,"353":391,"354":392,"357":397,"358":398,"359":399,"360":400,"361":401,"362":402,"363":404,"364":405,"365":406,"366":407,"367":408,"368":409,"369":410,"370":411,"371":412,"372":413,"373":414,"374":415,"375":416,"376":417,"377":418,"378":419,"379":420,"380":422,"381":423,"382":424,"383":425,"384":426,"385":427,"386":429,"387":430,"388":431,"389":432,"390":433,"391":434,"392":435,"393":436,"394":437,"395":438,"396":439,"397":440,"398":441,"399":442,"400":443,"401":444,"403":446,"404":448,"405":449,"407":451,"408":452,"409":453,"410":454,"411":455,"412":456,"413":457,"414":458,"415":459,"416":460,"417":461,"418":462,"419":463,"420":465,"421":467,"422":468,"423":469,"424":470,"425":472,"426":473,"427":474,"428":475,"429":476,"430":477,"431":478,"432":479,"433":480,"434":481,"435":482,"436":483,"437":484,"438":485,"439":486,"440":487,"441":488,"442":489,"443":490,"444":492,"445":493,"446":494,"447":495,"448":496,"449":497,"450":498,"451":499,"452":500,"453":501,"454":502,"455":503,"456":504,"457":506,"458":507,"459":508,"460":509,"461":510,"462":511,"463":515,"464":518,"465":519,"466":531,"467":534,"468":535,"469":539,"470":540,"471":544,"472":545,"473":549,"474":551,"475":552,"476":553,"477":561,"478":566,"479":572,"480":577,"481":578,"482":581,"483":586,"484":587,"485":588,"486":590,"487":591,"488":596,"489":599,"490":600,"491":604,"492":609,"493":612,"494":615,"495":617,"496":620,"497":621,"498":625,"499":629,"500":631,"501":632,"502":633,"503":635,"504":638,"505":639,"506":641,"507":644,"508":645,"509":648,"510":652,"511":654,"512":657,"513":659,"514":661,"515":662,"516":665,"517":666,"518":668,"519":670,"520":671,"521":678,"522":679,"523":680,"524":684,"525":685,"526":686,"527":687,"528":691,"529":692,"530":693,"531":694,"532":699,"533":700,"534":702,"535":710,"536":711,"537":717,"538":718,"539":719,"540":725,"541":728,"542":730,"543":731,"544":732,"545":733,"546":735,"547":736,"548":747,"549":752,"550":753,"551":757,"552":760,"553":763,"554":769,"555":771,"556":777,"557":780,"558":781,"559":782,"560":789,"561":790,"562":793,"563":797,"564":799,"565":802,"566":808,"567":813,"568":815,"569":816,"570":817,"571":818,"572":820,"573":822,"574":823,"575":825,"576":826,"577":827,"578":830,"579":831,"580":832,"581":834,"582":835,"583":840,"584":849,"585":850,"586":855,"587":861,"588":862,"589":864,"590":866,"591":870,"592":873,"593":875,"594":879,"595":881,"596":887,"597":888,"598":890,"599":891,"600":896,"601":897,"602":904,"603":906,"604":907,"605":908,"606":910,"607":911,"608":915,"609":916,"610":917,"611":919,"612":920,"613":922,"614":927,"615":929,"616":933,"617":934,"618":939,"619":940,"620":947,"621":948,"622":952,"623":954,"624":957,"625":958,"626":961,"627":963,"628":968,"629":969,"630":971,"631":978,"632":979,"633":980,"634":986,"635":988,"636":991,"637":992,"638":995,"639":1002,"640":1004,"641":1005,"642":1007,"643":1011,"644":1016,"645":1018,"646":1019,"647":1020,"648":1022},[20,30,46,60,61,69,89,91,104,105,107,130,148,152,158,167,181,211,219,220,227,228,229,231,264,267,292,293,302,308,315,344,349,357,360,370,387,393,395,403,428,447,464,466,471,491,505,513,514,517,521,529,536,546,557,558,559,564,568,569,570,571,575,576,592,593,594,601,602,603,605,611,613,614,618,624,630,643,649,650,660,673,674,675,676,682,688,690,712,713,714,715,716,720,721,724,739,740,743,744,746,748,749,750,754,756,758,759,761,762,765,766,767,768,774,778,783,787,791,795,796,800,803,809,811,812,821,829,833,837,838,839,844,846,847,858,865,867,868,874,876,878,880,885,892,898,899,901,912,914,921,924,928,930,932,935,936,937,944,946,949,953,959,960,964,966,972,973,974,976,977,982,983,985,987,989,993,996,1003,1008,1009,1012,1013,1015,1023],{"0":177,"1":421,"2":516,"3":520,"4":522,"5":525,"6":526,"7":538,"8":541,"9":542,"10":547,"11":548,"12":550,"13":560,"14":562,"15":563,"16":574,"17":579,"18":582,"19":584,"20":585,"21":597,"22":598,"23":606,"24":608,"25":616,"26":619,"27":628,"28":636,"29":640,"30":646,"31":647,"32":667,"33":672,"34":677,"35":681,"36":698,"37":701,"38":706,"39":708,"40":709,"41":722,"42":723,"43":727,"44":729,"45":734,"46":737,"47":741,"48":745,"49":764,"50":773,"51":776,"53":786,"54":794,"55":804,"56":848,"57":853,"58":854,"59":856,"60":882,"61":895,"62":900,"63":903,"64":918,"65":925,"66":938,"67":943,"69":962,"70":965,"71":994,"72":1010},{"0":537,"1":565,"2":573,"3":623,"5":634,"6":655,"7":656,"8":683,"9":695,"10":696,"11":704,"12":707,"13":726,"14":742,"15":751,"16":755,"17":770,"18":772,"19":805,"20":810,"21":819,"22":828,"23":845,"24":852,"25":884,"27":902,"28":905,"29":909,"30":923,"31":931,"32":955,"33":981},{"0":512,"1":523,"2":530,"3":532,"4":555,"5":589,"6":595,"7":637,"8":663,"9":689,"10":738,"12":814,"13":836,"14":851,"15":857,"16":871,"17":872,"18":877,"19":889,"20":913,"21":984,"22":997,"23":998,"24":1017},{"0":554,"1":567,"2":580,"4":669,"5":775,"6":785,"7":788,"8":792,"9":801,"10":824,"11":859,"12":869,"14":945,"15":950,"16":951,"17":1000},{"0":524,"1":556,"2":622,"3":664,"4":697,"5":806,"6":860,"7":863,"8":883,"9":941,"10":967,"11":975,"12":999,"14":1021},{"0":527,"1":543,"2":653,"3":658,"5":841,"6":843,"7":926,"8":942},{"0":533,"1":642,"2":703,"3":842,"5":1006},[],[],[],[],[]]